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Finding the Fourth Proportional to 7,804.96, 11,696.00 and 4,639.28

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Solution

The fourth proportional to 7,804.96, 11,696.00 and 4,639.28 is: 6,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.96 : 11,696.00 = 4,639.28 : x
  2. Step 2: Convert to fraction form
    7,804.96/11,696.00 = 4,639.28/x
  3. Step 3: Cross multiply
    7,804.96x = 11,696.00 × 4,639.28
  4. Step 4: Simplify right side
    7,804.96x = 54,260,937.20
  5. Step 5: Solve for x
    x = 54,260,937.20/7,804.96
  6. Step 6: Final answer
    x = 6,952.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.